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Pran Nath

2012

SU(5)

Articles 1 - 3 of 3

Full-Text Articles in Physical Sciences and Mathematics

Supersymmetric Mass Spectrum In Su(5) Supergravity Grand Unification, R. Arnowitt, Pran Nath Apr 2012

Supersymmetric Mass Spectrum In Su(5) Supergravity Grand Unification, R. Arnowitt, Pran Nath

Pran Nath

A detailed analysis of predictions of SU(5) supergravity grand unification within the framework of radiative breaking of SU(2)×U(1) is given. The masses of the 31 new supersymmetric particles depend on only four parameters. The full parameter space is explored and found to be strongly restricted by proton decay bounds if one requires no extreme fine tuning and the Higgs triplet mass to be ≤3MG. The 31 sparticle masses are then strongly correlated, e.g., mW̃1≲1/3mg̃, mW̃1≃MZ̃2≃2mZ̃1, mh≲110 GeV.


Testing Supergravity Grand Unification At Future Accelerator And Underground Experiments, R. Arnowitt, Pran Nath Apr 2012

Testing Supergravity Grand Unification At Future Accelerator And Underground Experiments, R. Arnowitt, Pran Nath

Pran Nath

The full parameter space of supergravity grand unified theory with SU(5)-type p→ν̅ K proton decay is analyzed using renormalization-group-induced electroweak symmetry breaking under the restrictions that the universal scalar mass m₀ and gluino mass are ≤1 TeV (no extreme fine tuning) and the Higgs triplet mass obeys MH₃/MG33 yr allowing a number of predictions concerning the SUSY mass spectrum. Thus either the p→ν̅ K decay mode will be seen at these experiments or a chargino of mass mW̃Further, if (p→ν̅ K)>1.5×1033 yr, then either the light Higgs boson has mass mh≤95 GeV or mW̃≤100 GeV, i.e., either the light …


Predictions In Su(5) Supergravity Grand Unification With Proton Stability And Relic Density Constraints, Pran Nath, R. Arnowitt Apr 2012

Predictions In Su(5) Supergravity Grand Unification With Proton Stability And Relic Density Constraints, Pran Nath, R. Arnowitt

Pran Nath

It is shown that in the physically interesting domain of the parameter space of SU(5) supergravity grand unified theory. the Higgs-boson and Z poles dominate the annihilation of the lightest supersymmetric particle. Here the naive analyses on thermal averaging breaks down and formulas are derived which give a rigorous treatment over the poles. These results are then used to show that there exist significant domains in the parameter space where the constraints of proton stability and cosmology are simultaneously satisfied. New upper limits on light particle masses are obtained.